SOLUTION: Find all real values of K for which 3t^2-4t+k=0 has imaginary roots

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Question 396389: Find all real values of K for which 3t^2-4t+k=0 has imaginary roots
Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!


Quadratics don't have imaginary roots, they have complex roots -- when they don't have real roots, that is.

When the discriminant is less than zero, the roots of a quadratic are a conjugate pair of complex roots. The discriminant of is:




So for your problem, the discriminant is:



If the roots are to be complex:



Just solve the inequality. Any value of k in the solution set will result in complex roots for your quadratic.

John

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